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2972963477274 = 237231437585987
BaseRepresentation
bin101011010000110010011…
…011101001011100011010
3101112012201221021121122120
4223100302123221130122
5342202112122233044
610153432141002110
7424534543414500
oct53206233513432
911465657247576
102972963477274
11a4691041801a
1240021b553336
1318747040246b
14a3c6c2a8670
1552500d97519
hex2b4326e971a

2972963477274 has 96 divisors (see below), whose sum is σ = 7305852635136. Its totient is φ = 802900758240.

The previous prime is 2972963477273. The next prime is 2972963477279. The reversal of 2972963477274 is 4727743692792.

2972963477274 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29729634772742 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2972963477199 and 2972963477208.

It is not an unprimeable number, because it can be changed into a prime (2972963477273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3401092 + ... + 4184895.

It is an arithmetic number, because the mean of its divisors is an integer number (76102631616).

Almost surely, 22972963477274 is an apocalyptic number.

2972963477274 is an abundant number, since it is smaller than the sum of its proper divisors (4332889157862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2972963477274 is a wasteful number, since it uses less digits than its factorization.

2972963477274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586080 (or 7586073 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 69.

The spelling of 2972963477274 in words is "two trillion, nine hundred seventy-two billion, nine hundred sixty-three million, four hundred seventy-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 42 43 49 62 86 93 98 129 147 186 217 258 294 301 434 602 651 903 1302 1333 1519 1806 2107 2666 3038 3999 4214 4557 6321 7998 9114 9331 12642 18662 27993 55986 65317 130634 195951 391902 7585987 15171974 22757961 45515922 53101909 106203818 159305727 235165597 318611454 326197441 371713363 470331194 652394882 705496791 743426726 978592323 1115140089 1410993582 1646159179 1957184646 2230280178 2283382087 3292318358 4566764174 4938477537 6850146261 9876955074 10112120671 11523114253 13700292522 15983674609 20224241342 23046228506 30336362013 31967349218 34569342759 47951023827 60672724026 69138685518 70784844697 95902047654 141569689394 212354534091 424709068182 495493912879 990987825758 1486481738637 2972963477274